The use of photon correlation spectroscopy to investigate the fact that micellar systems follow the overall structural arrest transition behavior was discussed. The existence of a glass-to-glass transition line starting at the point where two glass phases and the liquid phase coexisted was verified. It was shown that while the local structures of the attractive and the repulsive glasses were generally different, though they became identical at the predicted volume fraction. The results indicated that the relaxation of the two glasses were different in the intermediate time region.